Physics (PHYSICS) 1 electrodynamics as a classical field theory and action principles: for PHYSICS (PHYSICS) point particles, scalar fields, and vector fields, including Lagrangian formulation, principle of least action, symmetry principles, gauge PHYSICS 390-0 Topics in Physics (1 Unit) invariance, the electromagnetic field tensor, covariant equations of This is a special topics course, and each time it is offered could be a electrodynamics and mechanics. Constant electromagnetic fields. completely different topic. Although the topic can change, it is expected PHYSICS 414-2 Electrodynamics (1 Unit) that independent of the content, this is an advanced physics course that A continuation of the graduate course in electrodynamics. builds on core physics knowledge. Prerequisites vary by offering. It would Electromagnetic waves, optics, propagation of laser beams, diffraction generally require knowledge of at least one core physics course (Physics and interference phenomena. Electromagnetic fields in and around 330, 332, 333, 339) or the equivalent mathematics or Permission from dielectric and magnetic materials. Propagation of electromagnetic waves Instructor. in different dielectric and metallic media. Radiation and scattering, PHYSICS 411-0 Classical Mechanics (1 Unit) including relativistic radiation. Newtonian mechanics, conservation laws, and rigid-body dynamics; PHYSICS 416-0 Introduction to Statistical Mechanics (1 Unit) variational principle; Lagrangians, constraints, symmetry, conservation Statistical mechanics and probability. Microstates and macrostates. laws, non-potential forces, scattering, and linear oscillations; Thermodynamic limit. Ensembles: microcanonical, canonical, grand Hamiltonians, Poisson brackets, perturbation theory; and continuum canonical. Classical ideal gas: Maxwell-Boltzmann distribution. Quantum dynamics. gases: Fermi-Dirac and Bose-Einstein distributions. Thermodynamic PHYSICS 411-1 Methods of Theoretical Physics (1 Unit) potentials. Interacting systems. Phase diagrams and phase transitions. The topics covered will include: techniques for the solution of differential PHYSICS 420-0 Statistical Physics (1 Unit) equations; approximations such as the method of steepest descent; Correlation functions, response theory, spontaneous symmetry breaking, techniques for integration; the special functions of mathematical phase transitions, fluctuations, and critical phenomena. Optionally: topics physics; usage of Greens functions and eigenfunctions to solve from condensed-matter physics, or nonequilibrium processes relevant to differential equations; introduction to groups and group representations; biophysics and economics. probability and statistics (time permitting). PHYSICS 421-0 Introduction to Superconductivity (1 Unit) PHYSICS 412-1 Quantum Mech (1 Unit) Lectures and experimental demonstrations on the theory and 1.Vector spaces, linear operators, Hermitian operators, stationary states, phenomenology of superconductivity and its applications. No graduate bound states, harmonic oscillator, symmetry and conservation laws, prerequisites. intrinsic spin, Stern-Gerlach experiment, and spherically symmetric potentials. 2. Schrödinger's equation, electromagnetic potentials, PHYSICS 422-1 Condensed-Matter Physics (1 Unit) approximation methods, variational principles, Dirac's theory of the 1. Periodic potentials, x-ray diffraction; electrons in metals: semiclassical electron, electron spin, magnetic moment of the electron, and fine approximation, Fermi surface, and band structure; electronic, electrical, structure of hydrogen. 3. Identical particles, exchange symmetry, atomic and thermal transport; Boltzmann equation; electron-electron and molecular structure, coherent states, time-dependent perturbations, interactions. 2. Phonons: classical and quantum theory; electron- transition amplitudes, spontaneous emission, photoelectric effect, phonon interaction and scattering; optical properties of solids; intrinsic scattering theory, and light scattering. and extrinsic semiconductors; heterostructures and quantum Hall effect. 3. In-depth treatment of selected topics, such as diamagnetism, PHYSICS 412-2 Quantum Mechanics (1 Unit) paramagnetism, ferromagnetism, and formation of local moments. 1.Vector spaces, linear operators, Hermitian operators, stationary states, Phenomenological theory of superconductivity, transport and magnetic bound states, harmonic oscillator, symmetry and conservation laws, properties of superconductors, and superconducting devices. intrinsic spin, Stern-Gerlach experiment, and spherically symmetric potentials. 2. Schrödinger's equation, electromagnetic potentials, PHYSICS 422-2 Condensed-Matter Physics (1 Unit) approximation methods, variational principles, Dirac's theory of the 1. Periodic potentials, x-ray diffraction; electrons in metals: semiclassical electron, electron spin, magnetic moment of the electron, and fine approximation, Fermi surface, and band structure; electronic, electrical, structure of hydrogen. 3. Identical particles, exchange symmetry, atomic and thermal transport; Boltzmann equation; electron-electron and molecular structure, coherent states, time-dependent perturbations, interactions. 2. Phonons: classical and quantum theory; electron- transition amplitudes, spontaneous emission, photoelectric effect, phonon interaction and scattering; optical properties of solids; intrinsic scattering theory, and light scattering. and extrinsic semiconductors; heterostructures and quantum Hall effect. 3. In-depth treatment of selected topics, such as diamagnetism, PHYSICS 412-3 Quantum Mechanics (1 Unit) paramagnetism, ferromagnetism, and formation of local moments. 1.Vector spaces, linear operators, Hermitian operators, stationary states, Phenomenological theory of superconductivity, transport and magnetic bound states, harmonic oscillator, symmetry and conservation laws, properties of superconductors, and superconducting devices. intrinsic spin, Stern-Gerlach experiment, and spherically symmetric potentials. 2. Schrödinger's equation, electromagnetic potentials, PHYSICS 422-3 Condensed-Matter Physics (1 Unit) approximation methods, variational principles, Dirac's theory of the 1. Periodic potentials, x-ray diffraction; electrons in metals: semiclassical electron, electron spin, magnetic moment of the electron, and fine approximation, Fermi surface, and band structure; electronic, electrical, structure of hydrogen. 3. Identical particles, exchange symmetry, atomic and thermal transport; Boltzmann equation; electron-electron and molecular structure, coherent states, time-dependent perturbations, interactions. 2. Phonons: classical and quantum theory; electron- transition amplitudes, spontaneous emission, photoelectric effect, phonon interaction and scattering; optical properties of solids; intrinsic scattering theory, and light scattering. and extrinsic semiconductors; heterostructures and quantum Hall effect. 3. In-depth treatment of selected topics, such as diamagnetism, PHYSICS 414-1 Electrodynamics (1 Unit) paramagnetism, ferromagnetism, and formation of local moments. First quarter of a two-quarter class on Electrodynamics. Topics covered: Principles of Special Relativity and invariance. Relativistic Physics (PHYSICS) 1 2 Physics (PHYSICS) Phenomenological theory of superconductivity, transport and magnetic This course covers the mathematics of nonlinear oscillations, fractal properties of superconductors, and superconducting devices. geometry, chaotic dynamics, the dynamics of complex systems, and PHYSICS 424-1 Particle Physics (1 Unit) physics applications of these ideas. Projects involving applications of First Quarter: Overview of modern particle physics and experimental nonlinear dynamics and chaos are integral to this course. techniques, the quark model, particle production, quantum Prerequisites: Undergraduate level classical mechanics and familiarity with computer programming. chromodynamics, quark density functions. Weak interactions including W and Z properties, charged and neutral currents, CP violations, neutrinos, PHYSICS 431-0 Physics of Continuous Media (1 Unit) and heavy quarks. Fluids: Navier-Stokes equations, diffusion. Solids: kinematics, stress and PHYSICS 424-2 Particle Physics (1 Unit) strain tensors, and finite elasticity. Complex fluids: colloids, gels, and Second Quarter: Overview of the Standard Model of particle physics. liquid crystals. Deep-inelastic lepton scattering, neutrino oscillations, and collider Prerequisite: PHYSICS 411-0 or permission of instructor. physics. The experimental side of particle physics will be emphasized. PHYSICS 432-1 Many-Body Theory (1 Unit) Focus will be mainly on collider physics at the Tevatron and the Correlation, response, and Green's functions for many- particle systems; upcoming Large Hadron Collider. Feynman perturbation theory, Dyson's equation, symmetry and Prerequisite: PHYSICS 412-1 or consent of instructor. conservation laws, Fermi liquids, quasiparticles, Landau's transport PHYSICS 426-0 Nonlinear Optics (1 Unit) equation, electron-ion plasma, electron-phonon interaction, Kondo effect, Nonlinear optical susceptibilities; wave propagation and coupling in BSC theory, Gorkov's equations; thermodynamic and magnetic properties nonlinear media; harmonic, sum, and difference frequency generation; of superconductors; transport equations and electromagnetic response parametric amplification and oscillation; phase-conjugation via four-wave of superconductors. mixing; self-phase modulation and solitons. PHYSICS 432-2 Many-Body